Cosmic Potential Field I: A Preliminary Theoretical Framework for Scale-Dependent WJ Gravity and Cosmic Tension Dynamics

This Zenodo record provides an open-access version of the WJ dynamical framework materials and associated reproducibility packages. The WJ framework is a phenomenological gravitational and cosmological model in which a global accumulation-rate parameter, gw, is used to describe a time-dependent weak-field acceleration scale. The materials deposited here are intended to document the calculations, numerical tests, and supporting scripts used in the accompanying manuscripts and supplementary analyses. Main scientific components 1. Local galaxy-rotation benchmark using SPARC The framework is applied to 118 galaxies from the SPARC database using published baryonic masses and observed flat velocities. After a single global normalization of the acceleration scale, the model produces forward asymptotic velocity predictions without introducing galaxy-by-galaxy halo parameters, individual acceleration-scale adjustments, distance corrections, inclination corrections, or stellar mass-to-light-ratio tuning as fitting parameters. The updated median absolute fractional residual for the 118-galaxy benchmark is 9. 74 per cent. 2. Diagnostic analysis of UGC 07125 UGC 07125 is treated as a high-residual diagnostic case. The original SPARC catalogue inputs yield a large discrepancy, while independent distance information associated with SN 2020qmp reduces the residual but does not eliminate it. The case is therefore presented as a useful target for future extended H I kinematic mapping and improved distance/geometry constraints, rather than as a resolved validation case. 3. Conditional high-redshift test using REBELS-25 The framework is applied to the published baryon-dominated mass model of REBELS-25 at z = 7. 31. Because the cosmic age is only approximately 0. 70 Gyr at this redshift, the time-dependent acceleration scale is strongly suppressed and the predicted rotation curve is close to the baryonic Newtonian limit. Under the adopted conditional mass model, the predicted velocity at r approximately 2 kpc is 350. 7 km s^-1, consistent with the reported ALMA value of 366 (+30/-31) km s^-1. The principal falsifiable prediction is a declining outer rotation curve at currently unresolved radii, testable with future high-resolution ALMA or JWST-assisted kinematic observations. 4. Additional cosmological and phenomenological materials This record also includes broader theoretical and numerical materials related to the WJ framework, including exploratory calculations concerning the Hubble expansion, Type Ia supernova consistency tests, CMB-scale phenomenology, time-of-flight considerations, and other proposed observational diagnostics. These broader components are provided as a theoretical overview and reproducibility archive. They should be interpreted as part of an ongoing phenomenological programme rather than as a complete relativistic theory. Included data and code packages This Zenodo deposit contains supplementary reproducibility packages, including: 1. WJHubbleValidationPackage. zip This package contains code, input data, and output tables for the Hubble-expansion and Pantheon+ Type Ia supernova calculations described in the broader WJ framework materials. 2. WJMNRASSupplementaryCodeData. zip This package contains galaxy-dynamics supplementary materials, including SPARC-based flat-velocity calculations, the updated 118-galaxy output table, the UGC 07125 diagnostic calculation, and the conditional REBELS-25 rotation-curve calculation. This package has been synchronized with the updated 9. 74 per cent SPARC benchmark result. Both packages include README files describing the data sources, scripts, usage instructions, and output products needed to reproduce the deposited calculations. Data sources The deposited calculations make use of publicly available or published data products, including the SPARC database, published ALMA measurements and modelling for REBELS-25, Pantheon+ Type Ia supernova data, Planck 2018 cosmological results, Fermi-LAT materials, SH0ES-related published values, and relevant JWST/CEERS/ERS literature. Original datasets remain subject to the citation and usage policies of their respective authors and collaborations. Scope and limitations The WJ framework materials deposited here are presented as a phenomenological and exploratory modelling programme. The galaxy-dynamics component is designed as a forward kinematic test with a single global normalization and no galaxy-by-galaxy adjustable parameters. The broader cosmological materials are intended to document theoretical development and reproducibility, and they do not constitute a complete relativistic theory. Competing interest and patent disclosure The author declares a potential competing financial interest. W. Zhang has filed a patent application, Application No. 2026102178711, related to computational and theoretical methodologies associated with the WJ framework. The patent application did not influence the reporting of the astronomical data analysis or the reproducibility materials deposited here. License and use This record is provided for academic research, verification, and reproducibility. Commercial use of the author's original theoretical and computational materials is not permitted without prior permission. Third-party datasets included or referenced in the packages remain governed by their original licenses and data-use policies.